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Finding the Fourth Proportional to 32,017, 48,033.18 and 10,129

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Solution

The fourth proportional to 32,017, 48,033.18 and 10,129 is: 15,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017 : 48,033.18 = 10,129 : x
  2. Step 2: Convert to fraction form
    32,017/48,033.18 = 10,129/x
  3. Step 3: Cross multiply
    32,017x = 48,033.18 × 10,129
  4. Step 4: Simplify right side
    32,017x = 486,528,080.22
  5. Step 5: Solve for x
    x = 486,528,080.22/32,017
  6. Step 6: Final answer
    x = 15,195.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.